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为满足后量子时代日益增长的网络组播需求,设计了基于多线性映射的多接收者签密方案.通过把加密和签名有效结合起来,大大降低了密文规模,较少了网络和计算开销.每个接收者使用自己私钥解密,获得明文后可以验证发送者身份,保证了接收的公平性.基于多级Diffie-Hellman判定(GDDH)问题难度假设,在随机预言模型下证明了消息保密性满足CCA2安全,证明了签密在选择消息攻击下具有不可伪造性.方案中主要计算在多项式环上进行,所以计算复杂性较低.
To meet the increasing demand of network multicasting in the post-quantum era, a multi-receiver multi-signcryption scheme based on multi-linear mapping is designed.Combining encryption and signature effectively reduces the size of ciphertext and reduces the network and computational overhead Each receiver decrypts it by using its own private key, verifying the sender identity after obtaining the plaintext, and ensuring the fairness of reception.According to the difficulty assumption of multi-level Diffie-Hellman decision (GDDH) problem, Satisfactory CCA2 security proves that the signcryption is unforgeable under the selective message attack.The main computations in the scheme are performed on polynomial rings, so the computational complexity is low.